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Finding the Third Proportional to 345,164 and 738,320

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Solution

The third proportional to 345,164 and 738,320 is: 1,579,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,164 : 738,320 = 738,320 : x
  2. Step 2: Convert to fraction form
    345,164/738,320 = 738,320/x
  3. Step 3: Cross multiply
    345,164x = 738,320 × 738,320
  4. Step 4: Simplify right side
    345,164x = 545,116,422,400
  5. Step 5: Solve for x
    x = 545,116,422,400/345,164
  6. Step 6: Final answer
    x = 1,579,296.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.